Home / Assignment Help / A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 15.3 and the standard deviation of the annual precipitation amounts is 4.2. Let x represent the annual precipitation in that city. Determine the standardized version of x.

A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 15.3 and the standard deviation of the annual precipitation amounts is 4.2. Let x represent the annual precipitation in that city. Determine the standardized version of x.

Posted in Mathematics

      The general formula isZ=X−μ / σ
You mean standardizing to the normal distributionZ=X−15.3 /4.2


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Posted in Mathematics

The number of cartoons X, watched by Mrs. Kelly’s first grade class on Saturday morning is shown below. X P(X) 0 0.15 1 0.20 2 0.30 3 0.10 4 0.20 5 0.05 Give the standard deviation for the probability distribution above.

The standard deviation σ is the square root of the variance:σ=V(X)−−−−−√=E(X2)−(E(X)2−−−−−−−−−−−−−√)where E(X)is the expected value of X. By definition,E(X)=∑x∈Dxp(x)where D is the values X may take (in this case D={0,1,2,3,4,5})and p(x)=P(X=x)is the probability that X equals x.Then,E(X)==0⋅p(0)+1⋅p(1)+2⋅p(2)+3⋅p(3)+4⋅p(4)+5⋅p(5)2.15.
Similarly,E(X2)==02⋅p(0)+12⋅p(1)+22⋅p(2)+32⋅p(3)+42⋅p(4)+52⋅p(5)6.75,soV(X)=6.75−2.15=4.6andσ=4.6−−−√≈2.144.

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Posted in Mathematics

a golf ball travels a distance of 600 feet as measured along the ground and reaches an altitude of 200 feet. If the origin represents the tee and the ball travels along a parabolic path that opens downward, find an equation for the path of the golf ball. …?

Answer:

y=1.32x-0.0022x^{2}

Step-by-step explanation:

Let the standard equation of parabola be y=ax^{2}+bx+c ……. (1)

Let y be the altitude of the ball and x be the distance traveled by the ball.

Now by putting the points one by one, we get the required equation.

first point = (0,0)

golf ball travels a distance of 600 feet  along the ground. Therefore point = (600,0)

At altitude of 200, it travels the distance of 300 feet(mid point) = (300,200)

By putting y=0 and x=0 in (1),

we get c=0,

By putting y=0 and x=600 we get

0 = 360000a+600b …………..(2)

By putting y=200 and x=300, we get

200=90000a+300b …………….(3)

Solving (2) and(3) we get, a=-0.0022 and b = 1.32

So the required equation is :

y= =0.0022x^{2}+1.32x

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Which of the following represents the set of possible rational roots for the polynomial shown below? x^3+5x^2-8x-20=0 A.{1/2, 1,2, 5/2, 4, 5, 10, 20} B. {+/-1, +/-2, +/-4, +/-5, +/-10} C. {+/-1/2, +/-1, +/-2, +/-5/2, +/-4, +/-5, +/-10, +/-20} D. {+/-2/5, +/-1/2, +/-1, +/-2, +/-2/5, +/-1/5, +/-1/10} …?

You need to work out the variables of 20 (the last number) first: 
1, 2, 4, 5, 10, 20 
Lets call these folks “p” 
At that point you need to work out the components of the main coefficient (the number before the most astounding force of x): 

Lets call this person “q” 
At that point you need to make all the conceivable divisions you can with: 
±p/q 
Since q is only 1, we are fortunate, so the conceivable normal roots are: 
±1/1,±2/1,±4/1,±5/1.±10/1,±20/1

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